Maths Corner

A selection of my math related records. My style and depth varies extremely over the years both in math and writing skills. The list below is incomplete as I try to keep precisely written and mathematically correct stuffs here only, but this is such a high bar for my older works. Please search by tag if you want a full list.

Sorry if you clicked open something from the distant past and felt like silly. Most equations should be displayed with Javascript, but some used latexcogs inscribed pictures which could be blocked by ad blockers.

Main focus as of 2024: 
Analysis - spectral, harmonic, PDE.
Optimization - NP-complete problems, approximation asymptotics. 
Tournaments - IMO, Putnam, Simon Marais.

Last updated: 15/06/2024

2024
2023
2022
2021
2020
2019
2018
2017
2016
A geometric approach to LP duality (check my site)
Duality method for approximation algorithms (check my site)
2015
On card drawing problem
Introductory linear algebra (LA2)
2014
RV sequence of smaller variances
Choice of coordination
2013
GCD and exponents
An analysis problem on convergence
Algorithms that weights influences
Formalizing equations on minesweeper
A number theory question from games Part I Part II
2012
Operator precedence
Generating functions through calculus Differentiation Integration
2011
Induction Part I Part II Part III Part IV
A question on complex number
NSS co-geom problem
Complex number VS Co-geom
Determinants Part I Part II Part III
Definition of inequality
Problems on perfect square
Area maximization and its variations
Variables and Parametric equations
Equations involving multiple functions
Numerical Approximation II
Numerical Approximation
Cyclic Equation
2010
Selected question of Putnam 2005
Theory of Equations
Review of SIMC
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